TSTP Solution File: SEU240+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU240+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:27:52 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   68 (   2 unt;   0 def)
%            Number of atoms       :  305 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  372 ( 135   ~; 136   |;  70   &)
%                                         (  13 <=>;  16  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  144 ( 111   !;  33   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f277,plain,
    $false,
    inference(avatar_sat_refutation,[],[f110,f115,f120,f124,f192,f276]) ).

fof(f276,plain,
    ( spl11_2
    | ~ spl11_5 ),
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | spl11_2
    | ~ spl11_5 ),
    inference(subsumption_resolution,[],[f269,f246]) ).

fof(f246,plain,
    ( ~ in(ordered_pair(sK2(sK6,relation_field(sK6)),sK3(sK6,relation_field(sK6))),sK6)
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f88,f193,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0)
      | ~ relation(X0)
      | is_transitive_in(X0,X1) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2,X3,X4] :
                ( ~ in(X3,X1)
                | ~ in(ordered_pair(X4,X3),X0)
                | ~ in(ordered_pair(X2,X4),X0)
                | ~ in(X4,X1)
                | in(ordered_pair(X2,X3),X0)
                | ~ in(X2,X1) )
            | ~ is_transitive_in(X0,X1) )
          & ( is_transitive_in(X0,X1)
            | ( in(sK3(X0,X1),X1)
              & in(ordered_pair(sK4(X0,X1),sK3(X0,X1)),X0)
              & in(ordered_pair(sK2(X0,X1),sK4(X0,X1)),X0)
              & in(sK4(X0,X1),X1)
              & ~ in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0)
              & in(sK2(X0,X1),X1) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f61,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ? [X5,X6,X7] :
          ( in(X6,X1)
          & in(ordered_pair(X7,X6),X0)
          & in(ordered_pair(X5,X7),X0)
          & in(X7,X1)
          & ~ in(ordered_pair(X5,X6),X0)
          & in(X5,X1) )
     => ( in(sK3(X0,X1),X1)
        & in(ordered_pair(sK4(X0,X1),sK3(X0,X1)),X0)
        & in(ordered_pair(sK2(X0,X1),sK4(X0,X1)),X0)
        & in(sK4(X0,X1),X1)
        & ~ in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0)
        & in(sK2(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2,X3,X4] :
                ( ~ in(X3,X1)
                | ~ in(ordered_pair(X4,X3),X0)
                | ~ in(ordered_pair(X2,X4),X0)
                | ~ in(X4,X1)
                | in(ordered_pair(X2,X3),X0)
                | ~ in(X2,X1) )
            | ~ is_transitive_in(X0,X1) )
          & ( is_transitive_in(X0,X1)
            | ? [X5,X6,X7] :
                ( in(X6,X1)
                & in(ordered_pair(X7,X6),X0)
                & in(ordered_pair(X5,X7),X0)
                & in(X7,X1)
                & ~ in(ordered_pair(X5,X6),X0)
                & in(X5,X1) ) ) ) ),
    inference(rectify,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2,X4,X3] :
                ( ~ in(X4,X1)
                | ~ in(ordered_pair(X3,X4),X0)
                | ~ in(ordered_pair(X2,X3),X0)
                | ~ in(X3,X1)
                | in(ordered_pair(X2,X4),X0)
                | ~ in(X2,X1) )
            | ~ is_transitive_in(X0,X1) )
          & ( is_transitive_in(X0,X1)
            | ? [X2,X4,X3] :
                ( in(X4,X1)
                & in(ordered_pair(X3,X4),X0)
                & in(ordered_pair(X2,X3),X0)
                & in(X3,X1)
                & ~ in(ordered_pair(X2,X4),X0)
                & in(X2,X1) ) ) ) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ! [X2,X4,X3] :
              ( ~ in(X4,X1)
              | ~ in(ordered_pair(X3,X4),X0)
              | ~ in(ordered_pair(X2,X3),X0)
              | ~ in(X3,X1)
              | in(ordered_pair(X2,X4),X0)
              | ~ in(X2,X1) )
        <=> is_transitive_in(X0,X1) ) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( is_transitive_in(X0,X1)
        <=> ! [X4,X3,X2] :
              ( in(ordered_pair(X2,X4),X0)
              | ~ in(X3,X1)
              | ~ in(X2,X1)
              | ~ in(ordered_pair(X3,X4),X0)
              | ~ in(X4,X1)
              | ~ in(ordered_pair(X2,X3),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( is_transitive_in(X0,X1)
        <=> ! [X4,X3,X2] :
              ( ( in(X3,X1)
                & in(X2,X1)
                & in(ordered_pair(X3,X4),X0)
                & in(X4,X1)
                & in(ordered_pair(X2,X3),X0) )
             => in(ordered_pair(X2,X4),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_2) ).

fof(f193,plain,
    ( ~ is_transitive_in(sK6,relation_field(sK6))
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f88,f109,f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ is_transitive_in(X0,relation_field(X0))
      | transitive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ( ( transitive(X0)
          | ~ is_transitive_in(X0,relation_field(X0)) )
        & ( is_transitive_in(X0,relation_field(X0))
          | ~ transitive(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ( transitive(X0)
      <=> is_transitive_in(X0,relation_field(X0)) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ( transitive(X0)
      <=> is_transitive_in(X0,relation_field(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_relat_2) ).

fof(f109,plain,
    ( ~ transitive(sK6)
    | spl11_2 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f107,plain,
    ( spl11_2
  <=> transitive(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f88,plain,
    relation(sK6),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( ( ~ transitive(sK6)
      | ( in(ordered_pair(sK9,sK8),sK6)
        & ~ in(ordered_pair(sK7,sK8),sK6)
        & in(ordered_pair(sK7,sK9),sK6) ) )
    & ( transitive(sK6)
      | ! [X4,X5,X6] :
          ( ~ in(ordered_pair(X6,X5),sK6)
          | in(ordered_pair(X4,X5),sK6)
          | ~ in(ordered_pair(X4,X6),sK6) ) )
    & relation(sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f68,f70,f69]) ).

fof(f69,plain,
    ( ? [X0] :
        ( ( ~ transitive(X0)
          | ? [X1,X2,X3] :
              ( in(ordered_pair(X3,X2),X0)
              & ~ in(ordered_pair(X1,X2),X0)
              & in(ordered_pair(X1,X3),X0) ) )
        & ( transitive(X0)
          | ! [X4,X5,X6] :
              ( ~ in(ordered_pair(X6,X5),X0)
              | in(ordered_pair(X4,X5),X0)
              | ~ in(ordered_pair(X4,X6),X0) ) )
        & relation(X0) )
   => ( ( ~ transitive(sK6)
        | ? [X3,X2,X1] :
            ( in(ordered_pair(X3,X2),sK6)
            & ~ in(ordered_pair(X1,X2),sK6)
            & in(ordered_pair(X1,X3),sK6) ) )
      & ( transitive(sK6)
        | ! [X6,X5,X4] :
            ( ~ in(ordered_pair(X6,X5),sK6)
            | in(ordered_pair(X4,X5),sK6)
            | ~ in(ordered_pair(X4,X6),sK6) ) )
      & relation(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ( ? [X3,X2,X1] :
        ( in(ordered_pair(X3,X2),sK6)
        & ~ in(ordered_pair(X1,X2),sK6)
        & in(ordered_pair(X1,X3),sK6) )
   => ( in(ordered_pair(sK9,sK8),sK6)
      & ~ in(ordered_pair(sK7,sK8),sK6)
      & in(ordered_pair(sK7,sK9),sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ? [X0] :
      ( ( ~ transitive(X0)
        | ? [X1,X2,X3] :
            ( in(ordered_pair(X3,X2),X0)
            & ~ in(ordered_pair(X1,X2),X0)
            & in(ordered_pair(X1,X3),X0) ) )
      & ( transitive(X0)
        | ! [X4,X5,X6] :
            ( ~ in(ordered_pair(X6,X5),X0)
            | in(ordered_pair(X4,X5),X0)
            | ~ in(ordered_pair(X4,X6),X0) ) )
      & relation(X0) ),
    inference(rectify,[],[f67]) ).

fof(f67,plain,
    ? [X0] :
      ( ( ~ transitive(X0)
        | ? [X1,X2,X3] :
            ( in(ordered_pair(X3,X2),X0)
            & ~ in(ordered_pair(X1,X2),X0)
            & in(ordered_pair(X1,X3),X0) ) )
      & ( transitive(X0)
        | ! [X1,X2,X3] :
            ( ~ in(ordered_pair(X3,X2),X0)
            | in(ordered_pair(X1,X2),X0)
            | ~ in(ordered_pair(X1,X3),X0) ) )
      & relation(X0) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ? [X0] :
      ( ( ~ transitive(X0)
        | ? [X1,X2,X3] :
            ( in(ordered_pair(X3,X2),X0)
            & ~ in(ordered_pair(X1,X2),X0)
            & in(ordered_pair(X1,X3),X0) ) )
      & ( transitive(X0)
        | ! [X1,X2,X3] :
            ( ~ in(ordered_pair(X3,X2),X0)
            | in(ordered_pair(X1,X2),X0)
            | ~ in(ordered_pair(X1,X3),X0) ) )
      & relation(X0) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f50,plain,
    ? [X0] :
      ( ( ! [X1,X2,X3] :
            ( ~ in(ordered_pair(X3,X2),X0)
            | in(ordered_pair(X1,X2),X0)
            | ~ in(ordered_pair(X1,X3),X0) )
      <~> transitive(X0) )
      & relation(X0) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ? [X0] :
      ( ( ! [X2,X3,X1] :
            ( in(ordered_pair(X1,X2),X0)
            | ~ in(ordered_pair(X3,X2),X0)
            | ~ in(ordered_pair(X1,X3),X0) )
      <~> transitive(X0) )
      & relation(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ~ ! [X0] :
        ( relation(X0)
       => ( ! [X2,X3,X1] :
              ( ( in(ordered_pair(X3,X2),X0)
                & in(ordered_pair(X1,X3),X0) )
             => in(ordered_pair(X1,X2),X0) )
        <=> transitive(X0) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ( ! [X1,X3,X2] :
              ( ( in(ordered_pair(X1,X2),X0)
                & in(ordered_pair(X2,X3),X0) )
             => in(ordered_pair(X1,X3),X0) )
        <=> transitive(X0) ) ),
    inference(negated_conjecture,[],[f25]) ).

fof(f25,conjecture,
    ! [X0] :
      ( relation(X0)
     => ( ! [X1,X3,X2] :
            ( ( in(ordered_pair(X1,X2),X0)
              & in(ordered_pair(X2,X3),X0) )
           => in(ordered_pair(X1,X3),X0) )
      <=> transitive(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_wellord1) ).

fof(f269,plain,
    ( in(ordered_pair(sK2(sK6,relation_field(sK6)),sK3(sK6,relation_field(sK6))),sK6)
    | spl11_2
    | ~ spl11_5 ),
    inference(unit_resulting_resolution,[],[f244,f245,f123]) ).

fof(f123,plain,
    ( ! [X6,X4,X5] :
        ( ~ in(ordered_pair(X6,X5),sK6)
        | ~ in(ordered_pair(X4,X6),sK6)
        | in(ordered_pair(X4,X5),sK6) )
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f122,plain,
    ( spl11_5
  <=> ! [X6,X4,X5] :
        ( in(ordered_pair(X4,X5),sK6)
        | ~ in(ordered_pair(X6,X5),sK6)
        | ~ in(ordered_pair(X4,X6),sK6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f245,plain,
    ( in(ordered_pair(sK2(sK6,relation_field(sK6)),sK4(sK6,relation_field(sK6))),sK6)
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f88,f193,f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( in(ordered_pair(sK2(X0,X1),sK4(X0,X1)),X0)
      | is_transitive_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f244,plain,
    ( in(ordered_pair(sK4(sK6,relation_field(sK6)),sK3(sK6,relation_field(sK6))),sK6)
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f88,f193,f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( in(ordered_pair(sK4(X0,X1),sK3(X0,X1)),X0)
      | is_transitive_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f192,plain,
    ( spl11_1
    | ~ spl11_2
    | ~ spl11_3
    | ~ spl11_4 ),
    inference(avatar_contradiction_clause,[],[f191]) ).

fof(f191,plain,
    ( $false
    | spl11_1
    | ~ spl11_2
    | ~ spl11_3
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f171,f139]) ).

fof(f139,plain,
    ( is_transitive_in(sK6,relation_field(sK6))
    | ~ spl11_2 ),
    inference(unit_resulting_resolution,[],[f88,f108,f99]) ).

fof(f99,plain,
    ! [X0] :
      ( is_transitive_in(X0,relation_field(X0))
      | ~ transitive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f108,plain,
    ( transitive(sK6)
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f171,plain,
    ( ~ is_transitive_in(sK6,relation_field(sK6))
    | spl11_1
    | ~ spl11_3
    | ~ spl11_4 ),
    inference(unit_resulting_resolution,[],[f88,f158,f151,f150,f114,f105,f119,f86]) ).

fof(f86,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ in(ordered_pair(X4,X3),X0)
      | ~ in(X2,X1)
      | ~ relation(X0)
      | ~ in(X4,X1)
      | ~ is_transitive_in(X0,X1)
      | ~ in(X3,X1)
      | in(ordered_pair(X2,X3),X0)
      | ~ in(ordered_pair(X2,X4),X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f119,plain,
    ( in(ordered_pair(sK9,sK8),sK6)
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f117,plain,
    ( spl11_4
  <=> in(ordered_pair(sK9,sK8),sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f105,plain,
    ( ~ in(ordered_pair(sK7,sK8),sK6)
    | spl11_1 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f103,plain,
    ( spl11_1
  <=> in(ordered_pair(sK7,sK8),sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f114,plain,
    ( in(ordered_pair(sK7,sK9),sK6)
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f112,plain,
    ( spl11_3
  <=> in(ordered_pair(sK7,sK9),sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f150,plain,
    ( in(sK9,relation_field(sK6))
    | ~ spl11_3 ),
    inference(unit_resulting_resolution,[],[f88,f114,f94]) ).

fof(f94,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X0,X2),X1)
      | in(X2,relation_field(X1))
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ~ relation(X1)
      | ~ in(ordered_pair(X0,X2),X1)
      | ( in(X0,relation_field(X1))
        & in(X2,relation_field(X1)) ) ),
    inference(flattening,[],[f46]) ).

fof(f46,plain,
    ! [X0,X2,X1] :
      ( ( in(X0,relation_field(X1))
        & in(X2,relation_field(X1)) )
      | ~ in(ordered_pair(X0,X2),X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X2,X1] :
      ( relation(X1)
     => ( in(ordered_pair(X0,X2),X1)
       => ( in(X0,relation_field(X1))
          & in(X2,relation_field(X1)) ) ) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X2,X1] :
      ( relation(X2)
     => ( in(ordered_pair(X0,X1),X2)
       => ( in(X0,relation_field(X2))
          & in(X1,relation_field(X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_relat_1) ).

fof(f151,plain,
    ( in(sK8,relation_field(sK6))
    | ~ spl11_4 ),
    inference(unit_resulting_resolution,[],[f88,f119,f94]) ).

fof(f158,plain,
    ( in(sK7,relation_field(sK6))
    | ~ spl11_3 ),
    inference(unit_resulting_resolution,[],[f88,f114,f95]) ).

fof(f95,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X0,X2),X1)
      | in(X0,relation_field(X1))
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f124,plain,
    ( spl11_5
    | spl11_2 ),
    inference(avatar_split_clause,[],[f89,f107,f122]) ).

fof(f89,plain,
    ! [X6,X4,X5] :
      ( transitive(sK6)
      | in(ordered_pair(X4,X5),sK6)
      | ~ in(ordered_pair(X4,X6),sK6)
      | ~ in(ordered_pair(X6,X5),sK6) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f120,plain,
    ( spl11_4
    | ~ spl11_2 ),
    inference(avatar_split_clause,[],[f92,f107,f117]) ).

fof(f92,plain,
    ( ~ transitive(sK6)
    | in(ordered_pair(sK9,sK8),sK6) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f115,plain,
    ( ~ spl11_2
    | spl11_3 ),
    inference(avatar_split_clause,[],[f90,f112,f107]) ).

fof(f90,plain,
    ( in(ordered_pair(sK7,sK9),sK6)
    | ~ transitive(sK6) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f110,plain,
    ( ~ spl11_1
    | ~ spl11_2 ),
    inference(avatar_split_clause,[],[f91,f107,f103]) ).

fof(f91,plain,
    ( ~ transitive(sK6)
    | ~ in(ordered_pair(sK7,sK8),sK6) ),
    inference(cnf_transformation,[],[f71]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU240+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n001.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 15:18:02 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.46  % (5980)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.46  % (5972)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47  % (5970)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47  % (5964)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.48  % (5972)Instruction limit reached!
% 0.19/0.48  % (5972)------------------------------
% 0.19/0.48  % (5972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (5972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (5972)Termination reason: Unknown
% 0.19/0.48  % (5972)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (5972)Memory used [KB]: 6012
% 0.19/0.48  % (5972)Time elapsed: 0.069 s
% 0.19/0.48  % (5972)Instructions burned: 7 (million)
% 0.19/0.48  % (5972)------------------------------
% 0.19/0.48  % (5972)------------------------------
% 0.19/0.49  % (5984)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.49  % (5961)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.49  % (5957)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50  % (5969)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50  % (5976)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.50  % (5970)First to succeed.
% 0.19/0.50  % (5958)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50  % (5971)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (5981)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (5971)Instruction limit reached!
% 0.19/0.50  % (5971)------------------------------
% 0.19/0.50  % (5971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (5971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (5971)Termination reason: Unknown
% 0.19/0.50  % (5971)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (5971)Memory used [KB]: 6012
% 0.19/0.50  % (5971)Time elapsed: 0.003 s
% 0.19/0.50  % (5971)Instructions burned: 3 (million)
% 0.19/0.50  % (5971)------------------------------
% 0.19/0.50  % (5971)------------------------------
% 0.19/0.50  % (5977)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.51  % (5968)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (5965)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (5979)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51  % (5969)Refutation not found, incomplete strategy% (5969)------------------------------
% 0.19/0.51  % (5969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (5969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (5969)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (5969)Memory used [KB]: 1535
% 0.19/0.51  % (5969)Time elapsed: 0.116 s
% 0.19/0.51  % (5969)Instructions burned: 2 (million)
% 0.19/0.51  % (5969)------------------------------
% 0.19/0.51  % (5969)------------------------------
% 0.19/0.51  % (5974)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (5982)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.51  % (5967)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51  % (5962)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51  % (5974)Instruction limit reached!
% 0.19/0.51  % (5974)------------------------------
% 0.19/0.51  % (5974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (5974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (5974)Termination reason: Unknown
% 0.19/0.51  % (5974)Termination phase: Finite model building preprocessing
% 0.19/0.51  
% 0.19/0.51  % (5974)Memory used [KB]: 1535
% 0.19/0.51  % (5974)Time elapsed: 0.003 s
% 0.19/0.51  % (5974)Instructions burned: 4 (million)
% 0.19/0.51  % (5974)------------------------------
% 0.19/0.51  % (5974)------------------------------
% 0.19/0.52  % (5959)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (5983)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (5973)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (5959)Instruction limit reached!
% 0.19/0.52  % (5959)------------------------------
% 0.19/0.52  % (5959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (5959)Termination reason: Unknown
% 0.19/0.52  % (5959)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (5959)Memory used [KB]: 1407
% 0.19/0.52  % (5959)Time elapsed: 0.004 s
% 0.19/0.52  % (5959)Instructions burned: 3 (million)
% 0.19/0.52  % (5959)------------------------------
% 0.19/0.52  % (5959)------------------------------
% 0.19/0.52  % (5966)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52  % (5963)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52  % (5975)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (5976)Instruction limit reached!
% 0.19/0.52  % (5976)------------------------------
% 0.19/0.52  % (5976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5975)Instruction limit reached!
% 0.19/0.52  % (5975)------------------------------
% 0.19/0.52  % (5975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (5975)Termination reason: Unknown
% 0.19/0.52  % (5975)Termination phase: Preprocessing 3
% 0.19/0.52  
% 0.19/0.52  % (5975)Memory used [KB]: 1407
% 0.19/0.52  % (5975)Time elapsed: 0.002 s
% 0.19/0.52  % (5975)Instructions burned: 2 (million)
% 0.19/0.52  % (5975)------------------------------
% 0.19/0.52  % (5975)------------------------------
% 0.19/0.52  % (5986)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.52  % (5960)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (5968)Instruction limit reached!
% 0.19/0.52  % (5968)------------------------------
% 0.19/0.52  % (5968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5962)Instruction limit reached!
% 0.19/0.52  % (5962)------------------------------
% 0.19/0.52  % (5962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (5962)Termination reason: Unknown
% 0.19/0.52  % (5962)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (5962)Memory used [KB]: 1663
% 0.19/0.52  % (5962)Time elapsed: 0.132 s
% 0.19/0.52  % (5962)Instructions burned: 15 (million)
% 0.19/0.52  % (5962)------------------------------
% 0.19/0.52  % (5962)------------------------------
% 0.19/0.52  % (5968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (5968)Termination reason: Unknown
% 0.19/0.52  % (5968)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (5968)Memory used [KB]: 6140
% 0.19/0.52  % (5968)Time elapsed: 0.145 s
% 0.19/0.52  % (5968)Instructions burned: 7 (million)
% 0.19/0.52  % (5968)------------------------------
% 0.19/0.52  % (5968)------------------------------
% 0.19/0.52  % (5976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (5976)Termination reason: Unknown
% 0.19/0.52  % (5976)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (5976)Memory used [KB]: 6268
% 0.19/0.52  % (5976)Time elapsed: 0.140 s
% 0.19/0.52  % (5976)Instructions burned: 11 (million)
% 0.19/0.52  % (5976)------------------------------
% 0.19/0.52  % (5976)------------------------------
% 0.19/0.52  % (5978)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (5970)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (5970)------------------------------
% 0.19/0.52  % (5970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (5970)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (5970)Memory used [KB]: 6140
% 0.19/0.52  % (5970)Time elapsed: 0.113 s
% 0.19/0.52  % (5970)Instructions burned: 9 (million)
% 0.19/0.52  % (5970)------------------------------
% 0.19/0.52  % (5970)------------------------------
% 0.19/0.52  % (5955)Success in time 0.18 s
%------------------------------------------------------------------------------